A hierarchical finite element for composite laminated beams using a refined zigzag theory

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• 作者：Liz G. Nallim^a ; ^{lnallim@unsa.edu.ar} ; Sergio Oller^b ; Eugenio Oñ ; ate^b ; Fernando G. Flores^c
• 关键词：Refined zigzag theory ; Hierarchical finite element method ; PRZ element ; Beam finite element ; Composite beam ; Laminated beam
• 刊名：Composite Structures
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：163
• 期：Complete
• 页码：168-184
• 全文大小：3245 K
• 卷排序：163

文摘

In this work a kinematics for laminated beams enriched with a refined formulation ZigZag (RZT), originally presented by Tessler et al. in 2007, introduced in a hierarchical one dimensional type “p” finite element is presented. The finite element employs Lagrange polynomials for the approximation of the degrees of freedom of the ends (nodes) and orthogonal Gram-Schmidt polynomials to the internal degrees of freedoms. This finite element allows a very low discretization, is free of shear locking and behaves very well when the analysis of laminated composites with accurate determination of local stresses and strains at laminar level is necessary.This element has been validated in the analysis of laminated beams with various sequences of symmetric and asymmetric stacking, studying in each case its accuracy and stability.